Question

I'm a bit confused on what I'm supposed to be doing here, help would be much appreciated!

Answer 1

• f(n)=-n^2-4

`\\ \rm\hookrightarrow f(f(n))`

• Put f(n)

`\\ \rm\hookrightarrow f(-n^2-4)`

`\\ \rm\hookrightarrow -(-n^2-4)^2-4`

`\\ \rm\hookrightarrow -(n^4+8n^2+16)-4`

`\\ \rm\hookrightarrow -n^4-8n^2-16-4`

`\\ \rm\hookrightarrow -n^4-8n^2-20`

Answer 2

f(f(n)) = -n^4 -8n^2 -20

Explanation:

As with any function evaluation, you substitute the argument for the variable and simplify.

`f(f(n))=f(-n^2-4)=-(-n^2-4)^2-4\\\\=-(n^4+8n^2+16)-4\\\\\boxed{f(f(n))=-n^4-8n^2-20}`